Question 1

The circumference of a circle is given by  where r is the radius of the circle. What is the circumference of a circle with a 3-in. radius?

Accepted Answer

The answer of The circumference of a circle is given...

Question 2

Find the domain of the function  . Give the answer as an interval or union of intervals.

Accepted Answer

The answer of Find the domain of the function ...

Question 3

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.
​
​

Accepted Answer

The answer of Use the vertical-line test to determine whether...

Question 4

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Accepted Answer

The answer of Ace Truck leases its 10-ft box truck...

Question 5

Determine whether the point  lies on the graph of the function. Answer yes or no.
​

Accepted Answer

The answer of Determine whether the point  lies on...

Question 6

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.
​  ​
How fast was the ratio changing in the period from 1960 to 1980?
​
__________
​
From 1980 to 1990?
​
__________

Accepted Answer

The answer of The following graph shows the ratio of...

Question 7

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 3 yr will grow according to the rule
​  where P(x) denotes the population x mo from now.
​
By how much will the population increase during the next 9 mo?
​
__________
​
During the next 16 mo?
​
__________

Accepted Answer

The answer of A study prepared for a Sunbelt town's...

Question 8

Find the domain of the function  .

Accepted Answer

The answer of Find the domain of the function ...

Question 9

If f is a function, then f (a + b) = f (a) + f (b). Answer true or false.

Accepted Answer

This property, known as additivity or the homomorphism property, does not hold for all functions but specifically for linear functions and some other special cases. Many functions, such as quadratic functions, do not satisfy this condition.

Question 10

In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods purchased (x), where both T and x are measured in dollars. Express T as a function of x.

Accepted Answer

The answer of In a certain state, the sales tax...

Quiz 2: Functions, Limits, and the Derivative

The circumference of a circle is given by where r is the radius of the circle. What is the circumference of a circle with a 3-in. radius?

Find the domain of the function . Give the answer as an interval or union of intervals.

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Determine whether the point lies on the graph of the function. Answer yes or no.

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990. How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 3 yr will grow according to the rule where P(x) denotes the population x mo from now. By how much will the population increase during the next 9 mo? During the next 16 mo?

Find the domain of the function .

If f is a function, then f (a + b) = f (a) + f (b). Answer true or false.

In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods purchased (x), where both T and x are measured in dollars. Express T as a function of x.

Quiz 2: Functions, Limits, and the Derivative

The circumference of a circle is given by where r is the radius of the circle. What is the circumference of a circle with a 3-in. radius?

Find the domain of the function . Give the answer as an interval or union of intervals.

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no. ​ ​

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Determine whether the point lies on the graph of the function. Answer yes or no. ​

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990. ​ ​ How fast was the ratio changing in the period from 1960 to 1980? ​ __________ ​ From 1980 to 1990? ​ __________

Find the domain of the function .

If f is a function, then f (a + b) = f (a) + f (b). Answer true or false.

In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods purchased (x), where both T and x are measured in dollars. Express T as a function of x.

Use the vertical-line test to determine whether the graph represents y as a function of x. Answer yes or no.

Determine whether the point lies on the graph of the function. Answer yes or no.

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990. How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?